Unit 3 ~ 25 days ~ Operations and Algebraic Thinking - Properties
Curriculum Map Unit 3


In this unit, students will:
  • Apply properties of various operations (commutative, associative, and distributive) as strategies to multipy and divide
  • understand division as an unknown-factor problem. For example, find 32 ÷ 8 by finding the number that makes 32 when multiplied by 8
  • fluently multiply and divide within 100, using strategies such as the pattenrs and relationship between multiplication and division
  • understand multiplication and division as inverse operations
  • solve problems and explain their processess of solving division problems that can also be represented as unknown faction multiplication problems
  • represent and interpret data
Big Ideas
Instructional Focus and Background Information
Resources,Games, & Problem Solving Bank
(including [[#|Technology]])





Problem Solving Bank





Homework Documents



Everyday Counts Calendar Math



Warm-ups







Work Time by Standard
3.OA.5. Apply properties of operations as strategies to multiply and divide.2 Examples: If 6 × 4 = 24 is known, then 4 × 6 = 24 is also known. (Commutative property of multiplication.) 3 × 5 × 2 can be found by 3 × 5 = 15, then 15 × 2 = 30, or by 5 × 2 = 10, then 3 × 10 = 30. (Associative property of multiplication.) Knowing that 8 × 5 = 40 and 8 × 2 = 16, one can find 8 × 7 as 8 × (5 + 2) = (8 × 5) + (8 × 2) = 40 + 16 = 56. (Distributive property.)



3.OA.6. Understand division as an unknown-factor problem. For example, find 32 ÷ 8 by finding the number that makes 32 when multiplied by 8



3.OA.7.Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division (e.g., knowing that 8 × 5 = 40, one knows 40 ÷ 5 = 8) or properties of operations. By the end of Grade 3, know from memory all products of two one-digit numbers


3.MD.3. Draw a scaled picture graph and a scaled bar graph to represent a data set with several categories. Solve one- and two-step “how many more” and “how many less” problems using information presented in scaled bar graphs. For example, draw a bar graph in which each square in the bar graph might represent 5 pets



3.MD.4. Generate measurement data by measuring lengths using rulers marked with halves and fourths of an inch. Show the data by making a line plot, where the horizontal scale is marked off in appropriate units— whole numbers, halves, or quarters.




Closure